If I am doing a MGA SEM where the full model has an interaction term (used type = random) and the simple model has the interaction term (used type = general), how do I do a model comparison since the full model's output does not include Chi-square Test of Model Fit info?

Am I correct to say I have 3 df given the below output, and I can do a loglikelihood difference Chi Square test by subtracting the absolute value of the LL of my full model from the LL of my simple model and use the critical Chi-square of 3 df to determine significance or not?

As it stands, it looks to me that the interaction model is no worse a fitting model than the simple model?

Does this even make sense to do this "general" a model comparison for a MGA SEM where Roman Catholics are set up as the reference group to which Mainline Protestants and Evangelicals are compared?